A slit 0.400 mm wide is illuminated by parallel rays of light that have a wavelength of 590 nm . The diffraction pattern is observed on a screen that is 1.20 m from the slit. The intensity at the center of the central maximum (0 = 0°) is Io-
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A: Given Data:Light Wavelength, Slit width, Slit-to-screen separation,
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- Monochromatic light of wavelength 622 nm is incident on a single-slit of width 0.321 mm. The diffraction pattern is observed on a screen 4.88 m from the slit. The intensity at the center of the central maximum is I_0. What is the distance (in mm) on the screen from the center of the central maximum to a point on the screen where the intensity has fallen to I_0/2?Hurry!!!Monochromatic red light with a wavelength of 660nm is incident on a pair of narrow slits that are separated by a distance of 4.00×10^4 *m. A viewing screen is placed a distance of 120cm behind the slits to observe the intensity pattern of the light after passing through the slits. a) Relative to the center of the pattern, where is the center of the third bright fringe?
- In a double-slit interference experiment, the light source is a visible laser with wavelength 4.31E-7 m, the distance between slits is 9.51E-4m, and a screen is 2.09 m away from the slits. What is the distance between the central bright fringe and a dark fringe resulting from a 5π phase difference between light from the two slits (in m)?Three discrete spectral lines occur at angles of 10.5°, 13.6°, and 14.7°, respectively, in the first-order spectrum of a diffraction grating spectrometer. (a) If the grating has 3770 slits/cm, what are the wavelengths of the light? ?1 = nm (10.5°) ?2 = nm (13.6°) ?3 = nm (14.7°) (b) At what angles are these lines found in the second-order spectra? ? = ° (?1) ? = ° (?2) ? = ° (?3)You illuminate a slit with a width of 78.9 μm with a light of wavelength 731 nm and observe the resulting diffraction pattern on a screen that is situated 2.05 m from the slit. What is the width, in centimeters, of the pattern's central maximum?
- The full width at half-maximum (FWHM) of a central diffraction maximum is defined as the angle between the two points in the pattern where the intensity is one-half that at the center of the pattern. (See figure (b).) (a) Does the intensity drop to one-half the maximum value when sin²α = a²/2? (b) Is a = 1.39 rad (about 80°) a solution to the transcendental equation of (a)? (c) Is the FWHM AÐ = 2sin¹(0.442 A/a), where a is the slit width? Calculate the FWHM of the central maximum for slit width (d) 1.17 A, (e) 5.03 A, and (f) 11.7 A. 20 20 Relative intensity 15 10 0.8 0.6 a=2 0.4 0.2 5 05 8 (degrees) (a) 10 15 20 20 Relative intensity 1.0 0.8 0.6 -A0- 0.4 0.2 a= 52 20 15 10 5 0 5 10 15 20 (degrees) (b)Light of wavelength 553.0 nm553.0 nm is incident on a narrow slit. The diffraction pattern is viewed on a screen 61.5 cm61.5 cm from the slit. The distance on the screen between the fifth order minimum and the central maximum is 1.25 cm1.25 cm. What is the width ?a of the slit in micrometers (μm)?Light is sent through a single slit of width w = 0.52 mm. On a screen, which is L = 1.9 m from the slit, the width of the central maximum is D = 5.2 mm. a) The angle of the first dark fringe theta dark. Express sin(theta dark) in terms of the wavelength of the light λ and w. sin(theta dark) = b) Express tan(theta dark) in terms of D and L. c) If D << L, how is tan(theta dark) related to sin(theta dark)? d) Express λ in terms of w, D, and L? e) Solve for the numerical value of λ, in nanometers.
- A double-slit arrangement produces bright interference fringes for sodium light (λ = 644 nm) that are angularly separated by 0.40° near the center of the pattern. What is the angular fringe separation if the entire arrangement is immersed in water, which has an index of refraction of 1.33?Parallel rays of monochromatic light with wavelength 575 nm illuminate two identical slits and produce an interference pattern on a screen that is 75.0 cm from the slits. The centers of the slits are 0.640 mm apart and the width of each slit is 0.434 mm. If the intensity at the center of the central maximum is 4.20×10−4 W/m2, what is the intensity at a point on the screen that is 0.850 mm from the center of the central maximum?